Questions: (a) Is f(-4) positive? Yes No (b) For which value(s) of x is f(x)>0 ? Write your answer using interval notation. (c) For which value(s) of x is f(x)=0 ? If there is more than one value, separate them with commas.

(a) Is f(-4) positive?
Yes No
(b) For which value(s) of x is f(x)>0 ?

Write your answer using interval notation.

(c) For which value(s) of x is f(x)=0 ?

If there is more than one value, separate them with commas.

Transcript text: (a) Is $f(-4)$ positive? Yes No (b) For which value(s) of $x$ is $f(x)>0$ ? Write your answer using interval notation. $\square$ (c) For which value(s) of $x$ is $f(x)=0$ ? If there is more than one value, separate them with commas. $\square$

Solution

Solution Steps

Step 1: Determine if f(-4) is positive.

From the graph, we can see that the y-value at x = -4 is -3. Since -3 < 0, f(-4) is not positive.

Step 2: Determine the interval where f(x) > 0.

Looking at the graph, f(x) is positive between x = -3 and x = -1, and also between x = 1 and x = 4. In interval notation, this is (-3, -1) and (1, 4).

Step 3: Determine the x values where f(x) = 0.

The graph intersects the x-axis (where y = f(x) = 0) at x = -3, x = -1, x = 1, and x = 4.